   Chapter 11.5, Problem 35E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] s ( x ) = ln [ ( 4 x − 2 ) 1.3 ] [HINT: See Example 1 (a).]

To determine

To calculate: The derivative of the function s(x)=ln[(4x2)1.3].

Explanation

Given information:

The provided function is s(x)=ln[(4x2)1.3].

Formula used:

The derivative of natural logarithm of a function:

ddxlnu=1ududx

Constant multiple rule of derivative of a function:

f'(cx)=cf'(x)

Where c is constant.

Calculation:

Consider the function, s(x)=ln[(4x2)1.3].

Simplify the function s(x)=ln[(4x2)1.3] as,

s(x)=ln[(4x2)1.3]=1.3ln(4x2)

The derivative of natural logarithm of a function is ddxlnu=1ududx.

Here, u=4x2

Then, the derivative of function is,

s(x)=1

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